what order is the reaction

Question

Doubling the concentration of ethane will cause a four-fold increase in the rate of decomposition: 

C₂​H_6​→2CH₃​ 

The reaction rate is therefore____ order with respect to the concentration of C₂​H₆

Answer 1

If doubling the concentration of C2H6 produces a 4-fold increase in rate, then the reaction is SECOND order with respect of C2H6

rate = k[C2H6]^m

find the value of m to find the order. since [C2H6] has been doubled and k is constant, we can write...

rate ∞ [2]^m = 4 and m = 2